Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 902/237, 830/945 quickly i.e. 374330/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 902/237, 830/945 is 374330/3.
LCM(902/237, 830/945) = 374330/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 902/237,830/945
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 902,830
Least Common Multiple of Numerators i.e. LCM of 902,830 is 374330.
GCF of Denominators means GCF of 237,945 as per the given fractions.
GCF of 237,945 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 902,830
2 | 902, 830 |
451, 415 |
∴ So the LCM of the given numbers is 2 x 451 x 415 = 374330
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 902,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,830) x common factors =2 x 1 = 2
LCM(902,830) = ( 902 × 830 ) / 2
LCM(902,830) = 748660 / 2
LCM(902,830) = 374330
Lets's calculate GCF of 237,945
3 | 237, 945 |
79, 315 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374330/3
Therefore the LCM of Fractions 902/237,830/945 is 374330/3
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 237,945 . The biggest common factor number is the GCF number.
So the greatest common factor 237,945 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 902/237, 830/945?
Answer: LCM of Numerators as per given numbers 902/237, 830/945 is
LCM of Numerators i.e. for 902,830 is 374330
GCF of denominators i.e. for 237,945 is 3.
Thus, LCM of Fractions is 374330/3.Finally, LCM of Fractions for 902/237, 830/945 is 374330/3.